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3942851424 = 253193721579
BaseRepresentation
bin1110101100000011…
…0010001101100000
3101011210011121100020
43223000302031200
531033332221144
61451124553440
7166464453441
oct35300621540
911153147306
103942851424
1117437006a6
12920552880
134aab325a5
142959192c8
15181237419
hexeb032360

3942851424 has 144 divisors (see below), whose sum is σ = 11204222400. Its totient is φ = 1210692096.

The previous prime is 3942851401. The next prime is 3942851459. The reversal of 3942851424 is 4241582493.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2496267 + ... + 2497845.

It is an arithmetic number, because the mean of its divisors is an integer number (77807100).

Almost surely, 23942851424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3942851424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5602111200).

3942851424 is an abundant number, since it is smaller than the sum of its proper divisors (7261370976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3942851424 is a wasteful number, since it uses less digits than its factorization.

3942851424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685 (or 1640 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 3942851424 is about 62792.1286786807. The cubic root of 3942851424 is about 1579.8049516209.

The spelling of 3942851424 in words is "three billion, nine hundred forty-two million, eight hundred fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 37 38 48 57 74 76 96 111 114 148 152 222 228 296 304 444 456 592 608 703 888 912 1184 1369 1406 1579 1776 1824 2109 2738 2812 3158 3552 4107 4218 4737 5476 5624 6316 8214 8436 9474 10952 11248 12632 16428 16872 18948 21904 22496 25264 26011 30001 32856 33744 37896 43808 50528 52022 58423 60002 65712 67488 75792 78033 90003 104044 116846 120004 131424 151584 156066 175269 180006 208088 233692 240008 312132 350538 360012 416176 467384 480016 624264 701076 720024 832352 934768 960032 1110037 1248528 1402152 1440048 1869536 2161651 2220074 2497056 2804304 2880096 3330111 4323302 4440148 5608608 6484953 6660222 8646604 8880296 12969906 13320444 17293208 17760592 25939812 26640888 34586416 35521184 41071369 51879624 53281776 69172832 82142738 103759248 106563552 123214107 164285476 207518496 246428214 328570952 492856428 657141904 985712856 1314283808 1971425712 3942851424